What is included with this book?
Preface | |
Preliminaries | |
Precalculus Review | |
PrecalculusReview II | |
The Cartesian Coordinate System | |
Straight Lines | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Functions, Limits, And The Derivative | |
Functions and Their Graphs | |
The Algebra of Functions | |
Functions and Mathematical Models | |
Portfolio | |
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling | |
Limits | |
Using Technology: Finding the Limit of a Function | |
One-Sided Limits and Continuity | |
Using Technology: Finding the Points of Discontinuity of a Function | |
The Derivative | |
Using Technology: Graphing a Function and Its Tangent Line | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Differentiation | |
Basic Rules of Differentiation | |
Using Technology: Finding the Rate of Change of a Function | |
The Product and Quotient Rules | |
Using Technology: The Product and Quotient Rules | |
The Chain Rule | |
Using Technology: Finding the Derivative of a Composite Function | |
Marginal Functions in Economics | |
Higher-Order Derivatives | |
Using Technology: Finding the Second Derivative of a Function at a Given Point | |
Implicit Differentiation and Related Rates | |
Differentials | |
Using Technology: Finding the Differential of a Function | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Applications Of The Derivative | |
Applications of the First Derivative | |
Using Technology: Using the First Derivative to Analyze a Function | |
Applications of the Second Derivative | |
Using Technology: Finding the Inflection Points of a Function | |
Curve Sketching | |
Using Technology: Analyzing the Properties of a Optimization | |
UsingTechnology: Finding the Absolute Extrema of a Function | |
Optimization II | |
Summary of Principal Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Exponential And Logarithmic Functions | |
Exponential Functions | |
Using Technology | |
Logarithmic Functions | |
Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment | |
Differentiation of Exponential Functions | |
Using Technology | |
Differentiation of Logarithmic Functions | |
Exponential Functions as Mathematical Models | |
Portfolio | |
Using Technology: Analyzing Mathematical Models | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Integration | |
Antiderivatives and the Rules of Integration | |
Integration by Substitution | |
Area and the Definite Integral | |
The Fundamental Theorem of Calculus | |
Portfolio | |
Using Technology: Evaluating Definite Integrals | |
Evaluating Definite Integrals | |
Using Technology: Evaluating Integrals for Piecewise-Defined Functions | |
Area between Two Curves | |
Using Technology: Finding the Area between Two Curves | |
Applications of the Definite Integral to Business and Economics | |
Using Technology: Business and Economic Applications/Technology Exercises | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Additional Topics In Integration | |
Integration by Parts | |
Integration Using Tables of Integrals | |
Numerical Integration | |
Improper Integrals | |
Applications of Calculus to Probability | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Calculus Of Several Variables | |
Functions of Several Variables | |
Partial Derivatives | |
Portfolio | |
Using Technology: Finding Partial Derivatives at a Given Point | |
Maxima and Minima of Functions of Several Variables | |
The Method of Least Squares | |
Using Technology: Finding an Equation of Least-Squares Line | |
Constrained Maxima and Minima and the Method of Lagrange Multipliers | |
Double Integrals | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
The Inverse of a Function | |
The Graphs of Inverse Functions | |
Functions That Have Inverses | |
Finding the Inverse of a Function | |
Indeterminant Forms and l'H?pital's Rule | |
The Indeterminant Forms 0/0 and 8/8 | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |